1970-12-01
momentum operators
reasonable conditions
gravitons
article
https://doi.org/10.1007/bf01649448
conservation of matter
2022-11-24T20:45
metrics
general relativity
operators
true
apparent contradiction
space-time metric
particles
creation
conservation
contradictions
classical general relativity
time
energy-momentum tensor
momentum tensor
matter particles
prediction
matter
satisfies
1970-12
quantum predictions
articles
https://scigraph.springernature.com/explorer/license/
lack
matter satisfies
301-306
The conservation of matter in general relativity
tensor
annihilation
energy-momentum operators
conditions
It is shown that in classical general relativity, if space-time is nonempty at one time, it will be nonempty at all times provided that the energy momentum tensor of the matter satisfies a physically reasonable condition. The apparent contradiction with the quantum predictions for the creation and annihilation of matter particles by gravitons is discussed and is shown to arise from the lack of a good energy momentum operator for the matter in an unquantised curved space-time metric.
relativity
dimensions_id
pub.1052904713
Dept. of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge, England
Dept. of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge, England
Institute of Theoretical Astronomy, Cambridge, England
Atomic, Molecular, Nuclear, Particle and Plasma Physics
Springer Nature - SN SciGraph project
Springer Nature
Communications in Mathematical Physics
1432-0916
0010-3616
4
Hawking
Stephen
10.1007/bf01649448
doi
Physical Sciences
18